2442711937329 has 12 divisors (see below), whose sum is σ = 3586203682932. Its totient is φ = 1601778319200.

The previous prime is 2442711937283. The next prime is 2442711937349. The reversal of 2442711937329 is 9237391172442.

2442711937329 is a `hidden beast` number, since 2 + 4 + 4 + 271 + 19 + 37 + 329 = 666.

2442711937329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24438130929 + 2418273806400 = 156327^2 + 1555080^2 .

It is not a de Polignac number, because 2442711937329 - 2⁷ = 2442711937201 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2442711937349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2224691562 + ... + 2224692659.

It is an arithmetic number, because the mean of its divisors is an integer number (298850306911).

Almost surely, 2^{2442711937329} is an apocalyptic number.

It is an amenable number.

2442711937329 is a deficient number, since it is larger than the sum of its proper divisors (1143491745603).

2442711937329 is a wasteful number, since it uses less digits than its factorization.

2442711937329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449384288 (or 4449384285 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 2442711937329 in words is "two trillion, four hundred forty-two billion, seven hundred eleven million, nine hundred thirty-seven thousand, three hundred twenty-nine".